Global Journal of Pure and Applied Mathematics
  • Year: 2009
  • Volume: 5
  • Issue: 2

Distributional Hankel Type Transformation and Hankel Type Convolution

  • Author:
  • B.B. Waphare
  • Total Page Count: 17
  • Page Number: 163 to 179

MAEER's MIT Arts Commerce and Science College, Alandi (D) Tal: Khed, Dist: Pune, pin, 412105, (Maharashtra), INDIA.

2000 mathematics subject classification: Primary 46F12

Abstract

In this paper Hankel type transform is defined on Hα,β,K, by using kernel method. Hankel type convolution is defined and analyzed on Hα,β,K and it is established that Hankel type convolution is a closed operation in Hα,β,K, shown that the generalized Hankel type transformation satisfies the interchange formula. Finally some algebraic properties have been studied.

Keywords

Hankel type transformation, Hankel type convolution, distributions. Bessel type operator, Hankel type translation operator